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Finding the Fourth Proportional to 117.45, 162.11 and 77.57

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Solution

The fourth proportional to 117.45, 162.11 and 77.57 is: 107.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.45 : 162.11 = 77.57 : x
  2. Step 2: Convert to fraction form
    117.45/162.11 = 77.57/x
  3. Step 3: Cross multiply
    117.45x = 162.11 × 77.57
  4. Step 4: Simplify right side
    117.45x = 12,574.87
  5. Step 5: Solve for x
    x = 12,574.87/117.45
  6. Step 6: Final answer
    x = 107.07

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.